The density property for Gizatullin surfaces with reduced degenerate fibre

Abstract

All Gizatullin surfaces that admit such a ${\mathbb{C}}^{+}$-action for which the quotient is a ${\mathbb{C}}^1$-fibration with a reduced degenerate fibre, have the density property. We also give a description of the identity component of the group of holomorphic automorphisms of these surfaces.

19 pages

References in corpus (2)

• Criteria for the density property of complex manifolds
• Embeddings of generalized Danielewski surfaces in affine spaces